A Corn Yield Experiment
By around 5000 bc the indigenous peoples of southern Mexico first domesticated a wild variety of corn. The earliest corn plants bore only a few kernels on each stalk. By selectively breeding these plants over thousands of years, Native Americans developed a variety of types of domesticated corn, or maize, which bore large cobs holding hundreds of kernels. In the late 1800s scientists worked on the development of hybrid corn. This research led to better varieties of corn and higher yields. An Iowan named Henry Wallace developed an early variety of hybrid corn based upon his own scientific research. The number of farmers using hybrid corn increased throughout the 20th century, and as more farmers used hybrid corn, more corn was produced. In 1933 the average yield was 33 bushels per acres. In 1997 the yield had increased to 127 bushels per acre.
In order to compare high-yield hybrids, researchers recorded the yields of corn, in bushels per plot, for four different varieties of corn, A, B, C, and D. In a controlled greenhouse experiment, the researchers randomly assigned each variety to eight of 32 plots available for the study. The yields are listed here:
Your task is to exhaustively analyze this data using the one-way analysis of variance (AOV) techniques of Unit 4. In the process, you should give complete answers to the following questions: